College of Science and Mathematics
39 achievements
Jimenez, J., & Markin, M.
(2022).
On linear chaos in function spaces.
Demonstratio Mathematica. 55(1),
119-135.
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| Markin, M.
(2021).
On a characterization of finite-dimensional vector spaces.
International Journal of Mathematics and Mathematical Sciences. Article ID 8895949.
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| Markin, M., & Soghomonian, O.
(2021).
On a characterization of convergence in Banach spaces with a Schauder basis.
International Journal of Mathematics and Mathematical Sciences. Article ID 1640183.
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| Markin, M.
(2020).
Elementary Operator Theory.
Berlin/Boston: Walter de Gruyter GmbH.
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| Markin, M.
(2020).
On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis.
Open Mathematics. 18(1),
1952-1976.
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| Markin, M.
(2020).
On the non-hypercyclicity of scalar type spectral operators and collections of their exponentials.
Demonstratio Mathematica. 53(1),
352-359.
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| Markin, M., & Sichel, E.
(2019).
On the non-hypercyclicity of normal operators, their exponentials, and symmetric operators.
Mathematics. 7(10),
8 pp..
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| Markin, M., & Sichel, E.
(2019).
On expansive mappings.
Mathematics. 7(11),
10 pp.
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| Markin, M.
(2019).
On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one.
Open Mathematics. 17(1),
1-14.
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| Markin, M.
(2019).
On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the open semi-axis.
Open Mathematics. 17(1),
1082-1112.
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| Markin, M.
(2019).
Real Analysis: Measure and Integration.
Berlin/Boston: Walter de Gruyter GmbH.
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| Markin, M.
(2018).
On the mean ergodicity of weak solutions of an abstract evolution equation.
Methods of Functional Analysis and Topology. 24(1),
53-70.
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| Markin, M.
(2018).
On the differentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis.
International Journal of Mathematics and Mathematical Sciences. 14 pp..
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| Markin, M.
(2018).
Integration for Calculus, Analysis, and Differential Equations: Techniques, Examples, and Exercises.
New Jersey-London-Singapore: World Scientific Publishing Co., Inc..
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| Markin, M.
(2018).
Comment on “On the Carleman classes of vectors of a scalar type spectral operator”.
International Journal of Mathematics and Mathematical Sciences. 3 pp..
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| Markin, M.
(2018).
On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator.
Methods of Functional Analysis and Topology. 24(4),
349-369.
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| Markin, M.
(2018).
Elementary Functional Analysis.
Berlin/Boston: Walter de Gruyter GmbH.
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| Markin, M.
(2017).
On certain spectral features inherent to scalar type spectral operators.
Methods of Functional Analysis and Topology. 23(1),
60-65.
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| Markin, M.
(2016).
On the generation of Beurling type Carleman ultradifferentiable C0-semigroups by scalar type spectral operators.
Methods of Functional Analysis and Topology. 22(2),
169-183.
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| Markin, M.
(2015).
On the Carleman Ultradifferentiable Vectors of a Scalar Type Spectral Operator.
Methods of Functional Analysis and Topology. 21(4),
361-369.
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| Markin, M.
(2011).
On the differentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator.
International Journal of Mathematics and Mathematical Sciences. 27 pp..
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| Markin, M.
(2009).
On the Carleman Ultradifferentiability of Weak Solutions of an Abstract Evolution Equation.
Modern Analysis and Applications: The Mark Krein Centenary Conference Volume 2: Differential Operators and Mechanics.
(pp.407-443)
Basel: Birkhäuser Basel.
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| Markin, M.
(2008).
On scalar type spectral operators and Carleman ultradifferentiable C0-semigroups.
Ukrainian Mathematical Journal. 60(9),
1418-1436.
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| Markin, M.
(2006).
A Note on One Decomposition of Banach Spaces.
Methods of Functional Analysis and Topology. 12(3),
254-257.
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| Markin, M.
(2005).
A Gelfand-Mazur type theorem for normed algebras.
Methods of Functional Analysis and Topology. 11(1),
63-64.
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| Markin, M.
(2004).
On scalar type spectral operators, infinite differentiable and Gevrey ultradifferentiable C0-semigroups.
International Journal of Mathematics and Mathematical Sciences. 2401-2422.
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| Markin, M.
(2004).
On the Carleman classes of vectors of a scalar type spectral operator.
International Journal of Mathematics and Mathematical Sciences. 2004(60),
3219-3235.
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| Markin, M.
(2004).
A characterization of the generators of analytic C0-semigroups in the class of scalar type spectral operators.
Abstract and Applied Analysis. 1007-1018.
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| Markin, M.
(2002).
On an abstract evolution equation with a spectral operator of scalar type.
International journal of mathematics and mathematical sciences. 555-563.
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| Markin, M.
(2002).
A note on the spectral operators of scalar type and semigroups of bounded linear operators.
International Journal of Mathematics and Mathematical Sciences. 635-640.
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| Markin, M.
(2001).
On the strong smoothness of weak solutions of an abstract evolution equation ii. gevrey ultradifferentiability.
Applicable Analysis. 78(1-2),
97-137.
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| Markin, M.
(2001).
On the strong smoothness of weak solutions of an abstract evolution equation III. Gevrey ultradifferentiability of order less than One.
Applicable Analysis. 78(1-2),
139-152.
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| Markin, M.
(1999).
On the strong smoothness of weak solutions of an abstract evolution equation i. differentiability.
Applicable Analysis. 73(3-4),
573-606.
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| Markin, M.
(1996).
On the ultradifferentiability of weak solutions of a first-order operator-differential equation in a Hilbert space.
Dopov. Nats. Akad. Nauk Ukraıni. 22-26.
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| Markin, M.
(1996).
On a characterization of the generators of analytic semigroups in the cass of normal operators.
Methods of Functional Analysis and Topology. 2(2),
86-93.
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| Markin, M.
(1994).
Ergodicity of weak solutions of a first-order operator-differential equation.
Akad. Nauk. Ukrainy, Inst. Mat.. 44.
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| Markin, M.
(1994).
On the smoothness of weak solutions of a first-order differential equation in a Hilbert space.
Dopov./Dokl. Akad. Nauk Ukra ini. 23-25.
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| Markin, M.
(1991).
On the behavior at innity of bounded solutions of dierential equations in a Banach space.
Boundary Value Problems for Operator-Differential Equations.. 56-63.
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| Markin, M.
(1990).
Strong continuity of functions defined on a compact set with values in a Banach space with a basis.
Mathematics Today '90.. 110-118.
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